Variations of selective separability

By A. Bella, M. Bonanzinga, M. Matveev. 2009

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Abstract A space X is selectively separable if for every sequence ( D n : n ∈ ω ) of dense subspaces of X one can select finite F n ⊂ D n so that ⋃ { F n : n ∈ ω } is dense in X. In this paper selective separability and variations of this property are considered in two special cases: C p spaces and dense countable subspaces in 2 κ .

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/daae76a526c6db58a5584e4f9eca72b6c0bde62d